What is x when 71 divided by x equals 7?

To find the answer, just divide the dividend by the quotient: 71 ÷ 7 = 10.142857142857

To prove this, let's compute 71 divided by 10.142857142857: $\frac{71}{10.142857142857} = 7$

How does it work?

Asking what the value of x could be when 71 divided by x gives a result of 7, is equivalent to solving the following equation:

$\frac{71}{x} = 7$

Multiply both sides by x: $\frac{71 x}{x} = 7 x$
$\frac{71 x}{x}$ is equivalent to $\frac{x}{x} \times 71$ , which simplifies to $1 \times 71$ (or just $71$ ).
Thus, the equation becomes: $71 = 7 x$
To find x, divide both sides by 7: $\frac{71}{7} = \frac{7 x}{7}$
Which gives, after simplification: $10.142857142857 = x$ (or $x = 10.142857142857$ )

So, if the dividend is 71 and the quotient is 7, the divisor is 10.142857142857.